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3 years ago

Please help. what is the quotient of 4m^12/x-1÷x^2/8m^3 assume x ≠ 0 and m≠0

Mathematics

1 answer:

Sergio039 [100]3 years ago

5 0

Answer:

$\frac{32m^{15}}{x^3-x^2}$

Step-by-step explanation:

The given expression is: $\frac{4m^{12}}{x-1}\div \frac{x^2}{8m^3}$

We multiply by the reciprocal of the second fraction:

$\frac{4m^{12}}{x-1}\times \frac{8m^3}{x^2}$

We cancel out the common factors to get;

$\frac{32m^{12+3}}{x^2(x-1)}$ , where $x\ne0$ and $m\ne0$

We simplify to get:

$\frac{32m^{15}}{x^3-x^2}$

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Daniels print shop purchased a new printer for $35,000. Each year it depreciates at rate of 5%. How much will the printer be wor

Savatey [412]

Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:
About $23219.72

Let me know if you have any questions :)

7 0

3 years ago

An object is launched at 29.4 meters per

Lerok [7]

Answer:

The reasonable domain for the scenario is option 'a';

a) [0, 7]

Step-by-step explanation:

For the projectile motion of the object, we are given;

The speed at which the object is launched, v = 29.4 meters per second

The height of the platform from which the object is launched, h = 34.3 meter

The equation for the height of the object as a function of time 'x' is given as follows;

f(x) = -4.9·x² + 29.4·x + 34.3

The domain for the scenario, is given by the possible values of 'x' for the function, which is found as follows;

At the height from which the object is launched, x = 0, and f(x) = 34.3

At the ground level to which the object can drop, f(x) = 0

∴ f(x) = -4.9·x² + 29.4·x + 34.3 = 0

-4.9·x² + 29.4·x + 34.3 = 0

By the quadratic formula, we have;

x = (-29.4 ± √(29.4² - 4 × (-4.9) × 34.3))/(2 × (-4.9)

∴ x = -1, or 7

Given that time is a natural number, we have the reasonable domain for the scenario as the start time when the object is launched, t = 0 to the time the object reaches the ground, t = 7

Therefore, the reasonable domain for the scenario is; 0 ≤ x ≤ 7 or [0, 7].

4 0

3 years ago

Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B

gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0

3 years ago

The data reflects the number of hours an employee spends working a checkout line (x), paired with the number of customers served

Whitepunk [10]

The slope of the line can be interpreted that with each additional hour, nearly 18 customers are served; option B

<h3>What is the slope of a line?</h3>

The slope of a line is the ratio of climb to that of run

Slope = change in y/change in x

The given graph is a graph of the number of hours an employee spends working a checkout line (x), against the number of customers served (y).

The slope of the graph can be written as follows:

Slope = change in the number of customers served/change in the number of hours an employee spends working

Therefore, the slope of the line can be interpreted that with each additional hour, nearly 18 customers are served.

In conclusion, slope of a line is ratio of change in y to change in x.

Learn more about slope at: brainly.com/question/16949303

#SPJ1

7 0

2 years ago

Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determin

LenKa [72]

Answer:

The equation is:

$409 = T - 223$

And the solution is:

$T = 632$

Step-by-step explanation:

Given

Represent Kiran with K and Tyler with T

Kiran score is represented as:

$K = 409$

Also, Kiran scored 223 less than Tyler.

This is represented as:

$K = T - 223$

Substitute 409 for K

$409 = T - 223$

Make T the subject

$T = 409 +223$

$T = 632$

5 0

3 years ago